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Characteristic points and cycles in planar kinematics with application to the human gait

Treść / Zawartość
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: We present a novel method to process kinematical data typically coming from measurements of joints. This method will be illustrated through two examples. Methods: We adopt theoretical kinematics together with the principle of least action. We use motion and inverse motion for describing the whole experimental situation theoretically. Results: By using the principle of least action, the data contain information about inherent reference points, which we call characteristic points. These points are unique for direct and inverse motion. They may be viewed as centers of the fixed and moving reference systems. The respective actions of these characteristic points are analytically calculated. The sum of these actions defines the kinematical action. This sum is by design independent of the choice of reference system. The minimality of the kinematical action can be used again to select numerically one representative cycle in empirically given, approximately periodic motions. Finally, we illustrate the theoretical approach making use of two examples worked out, hinge movement and the sagittal component of the movement of a human leg during gait. Conclusions: This approach enables automatic cycle choices for evaluating large databases in order to compare and to distinguish empirically given movements. The procedure can be extended to three dimensional movements.
Rocznik
Strony
75--86
Opis fizyczny
Bibliogr. 14 poz., rys., tab., wykr.
Twórcy
autor
  • Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany
autor
  • Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany
  • Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany
autor
  • Joint Biomechanical Research Group, Department of Orthodontics, Georg-August-University, Göttingen, Germany
Bibliografia
  • [1] BARIN K., Evaluation of a Generalized Model of Human Postural Dynamics and Control in the Sagittal Plane, Biological Cybernetics, 1989, 61(1), 37–50.
  • [2] BLASCHKE W., MÜLLER H.R., Ebene Kinematik, R. Oldenbourg, München 1956.
  • [3] BOTTEMA O., ROTH B., Theoretical Kinematics, North-Holland, Amsterdam, Oxford, New York 1979.
  • [4] BRAUNE W., FISCHER O., The human gait (Der Gang des Menschen), Springer, Berlin u.a. 1985.
  • [5] DATHE H., GEZZI R., Characteristic directions of closed planar motions, Z. angew. Math. Mech., 2012, 92, 731–748.
  • [6] DATHE H., GEZZI R., Addenda and Erratum to: Characteristic directions of closed planar motions, 2014.
  • [7] FLÜGEL B., GREIL H., SOMMER K., Anthropologischer Atlas, Edition Wötzel, Frankfurt/Main 1986.
  • [8] HARTENBERG R.S., DENAVIT J., Kinematic Synthesis of Linkages, McGraw-Hill, New York, San Francisco, Toronto, London 1964.
  • [9] KUBEIN-MEESENBURG D., NÄGERL H., COTTA H., FANGHÄNEL J., [Biomechanical principles in diarthroses and synarthroses. I: Basic concepts in diarthroses, Zeitschrift fur Orthopadie und ihre Grenzgebiete, 1993, 131(2), 97–104.
  • [10] LANCZOS C., The Variational Principles of Mechanics, Univ. of Toronto Press, Toronto 1949.
  • [11] LANDAU L.D., LIFSCHITZ E.M., Mechanik, Akademie-Verlag, Berlin 1987.
  • [12] NÄGERL H., KUBEIN-MEESENBURG D., FANGHÄNEL J., THIEME K.M., KLAMT B., SCHWESTKA-POLLY R., Elements of a general theory of joints. 6. General kinematical structure of mandibular movements, Anat Anz., 1991, 173(5), 249–264.
  • [13] STANIŠIC M.M., PENNOCK G.R., The Canonical Inverse Velocity and Acceleration Solutions of a Planar 2-Link Open-Chain, Int. J. Robot. Res., 1986, 5(2), 82–90.
  • [14] SZABÓ I., Geschichte der mechanischen Prinzipien, Birkhäuser Verlag, Basel und Stuttgart 1977
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-cebb6be4-2c0b-43e4-98bc-88d11d15045d
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